9313157952 has 448 divisors, whose sum is σ = 33649920000. Its totient is φ = 2517806592.

The previous prime is 9313157941. The next prime is 9313157989. The reversal of 9313157952 is 2597513139.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×9313157952² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9313157898 and 9313157907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11260963 + ... + 11261789.

Almost surely, 2^9313157952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9313157952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16824960000).

9313157952 is an abundant number, since it is smaller than the sum of its proper divisors (24336762048).

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

9313157952 is a wasteful number, since it uses less digits than its factorization.

9313157952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 858 counting only the distinct ones).

The product of its digits is 255150, while the sum is 45.

The square root of 9313157952 is about 96504.7042998423. The cubic root of 9313157952 is about 2103.9350218720.

The spelling of 9313157952 in words is "nine billion, three hundred thirteen million, one hundred fifty-seven thousand, nine hundred fifty-two".