1071749952 has 504 divisors, whose sum is σ = 4047353856. Its totient is φ = 268240896.

The previous prime is 1071749951. The next prime is 1071749953. The reversal of 1071749952 is 2599471701.

1071749952 is a `hidden beast` number, since 107 + 1 + 7 + 499 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (1071749951) and next prime (1071749953).

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1071749952² = 2297295919224004608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1071749898 and 1071749907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071749951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8438913 + ... + 8439039.

It is an arithmetic number, because the mean of its divisors is an integer number (8030464).

Almost surely, 2^1071749952 is an apocalyptic number.

1071749952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023676928).

1071749952 is an abundant number, since it is smaller than the sum of its proper divisors (2975603904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1071749952 is a wasteful number, since it uses less digits than its factorization.

1071749952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 1071749952 is about 32737.5923366395. The cubic root of 1071749952 is about 1023.3664089960.

It can be divided in two parts, 1071749 and 952, that added together give a palindrome (1072701).

The spelling of 1071749952 in words is "one billion, seventy-one million, seven hundred forty-nine thousand, nine hundred fifty-two".