361025135352 has 192 divisors, whose sum is σ = 1135060243200. Its totient is φ = 101527810560.

The previous prime is 361025135329. The next prime is 361025135363. The reversal of 361025135352 is 253531520163.

361025135352 is a `hidden beast` number, since 3 + 6 + 1 + 0 + 251 + 353 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50006799 + ... + 50014017.

It is an arithmetic number, because the mean of its divisors is an integer number (5911772100).

Almost surely, 2^361025135352 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 361025135352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567530121600).

361025135352 is an abundant number, since it is smaller than the sum of its proper divisors (774035107848).

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

361025135352 is a wasteful number, since it uses less digits than its factorization.

361025135352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8786 (or 8779 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 361025135352 in words is "three hundred sixty-one billion, twenty-five million, one hundred thirty-five thousand, three hundred fifty-two".