252635164200753 has 8 divisors (see below), whose sum is σ = 356661408283488. Its totient is φ = 158516181459264.

The previous prime is 252635164200751. The next prime is 252635164200767. The reversal of 252635164200753 is 357002461536252.

252635164200753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 252635164200753 - 2¹ = 252635164200751 is a prime.

It is a super-3 number, since 3×252635164200753³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51), and also a Moran number because the ratio is a prime number: 4953630670603 = 252635164200753 / (2 + 5 + 2 + 6 + 3 + 5 + 1 + 6 + 4 + 2 + 0 + 0 + 7 + 5 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 252635164200696 and 252635164200705.

It is not an unprimeable number, because it can be changed into a prime (252635164200751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2476815335251 + ... + 2476815335352.

It is an arithmetic number, because the mean of its divisors is an integer number (44582676035436).

Almost surely, 2^{252635164200753} is an apocalyptic number.

It is an amenable number.

252635164200753 is a deficient number, since it is larger than the sum of its proper divisors (104026244082735).

252635164200753 is a wasteful number, since it uses less digits than its factorization.

252635164200753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4953630670623.

The product of its (nonzero) digits is 9072000, while the sum is 51.

The spelling of 252635164200753 in words is "two hundred fifty-two trillion, six hundred thirty-five billion, one hundred sixty-four million, two hundred thousand, seven hundred fifty-three".