1953148752 has 120 divisors (see below), whose sum is σ = 5686014048. Its totient is φ = 625363200.

The previous prime is 1953148697. The next prime is 1953148763. The reversal of 1953148752 is 2578413591.

1953148752 is a `hidden beast` number, since 1 + 9 + 531 + 48 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1953148698 and 1953148707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375127 + ... + 380297.

Almost surely, 2^1953148752 is an apocalyptic number.

1953148752 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 1953148752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843007024).

1953148752 is an abundant number, since it is smaller than the sum of its proper divisors (3732865296).

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

1953148752 is a wasteful number, since it uses less digits than its factorization.

1953148752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289 (or 5280 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 1953148752 is about 44194.4425465465. The cubic root of 1953148752 is about 1250.0050670728.

The spelling of 1953148752 in words is "one billion, nine hundred fifty-three million, one hundred forty-eight thousand, seven hundred fifty-two".