252105214450431 has 8 divisors (see below), whose sum is σ = 336261767797504. Its totient is φ = 168009402035160.

The previous prime is 252105214450417. The next prime is 252105214450471. The reversal of 252105214450431 is 134054412501252.

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

It is not a de Polignac number, because 252105214450431 - 2⁵ = 252105214450399 is a prime.

It is a super-2 number, since 2×252105214450431² (a number of 30 digits) contains 22 as substring.

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 252105214450431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252105214450471) 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, 15185223265 + ... + 15185239866.

It is an arithmetic number, because the mean of its divisors is an integer number (42032720974688).

Almost surely, 2^{252105214450431} is an apocalyptic number.

252105214450431 is a deficient number, since it is larger than the sum of its proper divisors (84156553347073).

252105214450431 is a wasteful number, since it uses less digits than its factorization.

252105214450431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30370465901.

The product of its (nonzero) digits is 192000, while the sum is 39.

Adding to 252105214450431 its reverse (134054412501252), we get a palindrome (386159626951683).

The spelling of 252105214450431 in words is "two hundred fifty-two trillion, one hundred five billion, two hundred fourteen million, four hundred fifty thousand, four hundred thirty-one".