252585414700096 has 189 divisors, whose sum is σ = 514841671877589. Its totient is φ = 122951821487616.

The previous prime is 252585414700039. The next prime is 252585414700123. The reversal of 252585414700096 is 690007414585252.

The square root of 252585414700096 is 15892936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29592120338496 + 222993294361600 = 5439864^2 + 14932960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 252585414700096.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1269273440605 + ... + 1269273440803.

Almost surely, 2^{252585414700096} is an apocalyptic number.

252585414700096 is the 15892936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252585414700096

252585414700096 is an abundant number, since it is smaller than the sum of its proper divisors (262256257177493).

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

252585414700096 is an frugal number, since it uses more digits than its factorization.

252585414700096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 58.

The spelling of 252585414700096 in words is "two hundred fifty-two trillion, five hundred eighty-five billion, four hundred fourteen million, seven hundred thousand, ninety-six".