1071152550 has 288 divisors, whose sum is σ = 3412281600. Its totient is φ = 238360320.

The previous prime is 1071152549. The next prime is 1071152557. The reversal of 1071152550 is 552511701.

1071152550 is a `hidden beast` number, since 107 + 1 + 1 + 5 + 2 + 550 = 666.

It is a super-2 number, since 2×1071152550² = 2294735570743005000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071152557) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2556241 + ... + 2556659.

It is an arithmetic number, because the mean of its divisors is an integer number (11848200).

Almost surely, 2^1071152550 is an apocalyptic number.

1071152550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071152550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706140800).

1071152550 is an abundant number, since it is smaller than the sum of its proper divisors (2341129050).

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

1071152550 is a wasteful number, since it uses less digits than its factorization.

1071152550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The square root of 1071152550 is about 32728.4669668471. The cubic root of 1071152550 is about 1023.1762294471.

The spelling of 1071152550 in words is "one billion, seventy-one million, one hundred fifty-two thousand, five hundred fifty".