253573525375352 has 128 divisors (see below), whose sum is σ = 591376437872640. Its totient is φ = 99251393679360.

The previous prime is 253573525375351. The next prime is 253573525375367.

253573525375352 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253573525375351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240061727 + ... + 241115697.

It is an arithmetic number, because the mean of its divisors is an integer number (4620128420880).

Almost surely, 2^{253573525375352} 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 253573525375352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295688218936320).

253573525375352 is an abundant number, since it is smaller than the sum of its proper divisors (337802912497288).

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

253573525375352 is a wasteful number, since it uses less digits than its factorization.

253573525375352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057501 (or 1057497 counting only the distinct ones).

The product of its digits is 496125000, while the sum is 62.

The spelling of 253573525375352 in words is "two hundred fifty-three trillion, five hundred seventy-three billion, five hundred twenty-five million, three hundred seventy-five thousand, three hundred fifty-two".