9617958504252 has 144 divisors (see below), whose sum is σ = 29424507420672. Its totient is φ = 2585913684480.

The previous prime is 9617958504247. The next prime is 9617958504257. The reversal of 9617958504252 is 2524058597169.

9617958504252 is a `hidden beast` number, since 9 + 6 + 1 + 7 + 9 + 585 + 0 + 42 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (9617958504247) and next prime (9617958504257).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 9617958504252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9617958504257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26133877 + ... + 26499347.

It is an arithmetic number, because the mean of its divisors is an integer number (204336857088).

Almost surely, 2^{9617958504252} 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 9617958504252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712253710336).

9617958504252 is an abundant number, since it is smaller than the sum of its proper divisors (19806548916420).

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

9617958504252 is a wasteful number, since it uses less digits than its factorization.

9617958504252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371648 (or 371643 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 9617958504252 in words is "nine trillion, six hundred seventeen billion, nine hundred fifty-eight million, five hundred four thousand, two hundred fifty-two".