252157150350 has 576 divisors, whose sum is σ = 852269558400. Its totient is φ = 52115374080.

The previous prime is 252157150331. The next prime is 252157150363. The reversal of 252157150350 is 53051751252.

252157150350 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 571 + 50 + 35 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 616520946 + ... + 616521354.

It is an arithmetic number, because the mean of its divisors is an integer number (1479634650).

Almost surely, 2^252157150350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252157150350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426134779200).

252157150350 is an abundant number, since it is smaller than the sum of its proper divisors (600112408050).

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

252157150350 is a wasteful number, since it uses less digits than its factorization.

252157150350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The spelling of 252157150350 in words is "two hundred fifty-two billion, one hundred fifty-seven million, one hundred fifty thousand, three hundred fifty".