252005401253 has 8 divisors (see below), whose sum is σ = 252409280760. Its totient is φ = 251601649600.

The previous prime is 252005401231. The next prime is 252005401321. The reversal of 252005401253 is 352104500252.

It can be written as a sum of positive squares in 4 ways, for example, as 51786739489 + 200218661764 = 227567^2 + 447458^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 252005401253 - 2⁶ = 252005401189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252005403253) 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, 4399763 + ... + 4456671.

It is an arithmetic number, because the mean of its divisors is an integer number (31551160095).

Almost surely, 2^252005401253 is an apocalyptic number.

It is an amenable number.

252005401253 is a deficient number, since it is larger than the sum of its proper divisors (403879507).

252005401253 is an equidigital number, since it uses as much as digits as its factorization.

252005401253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63927.

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 252005401253 in words is "two hundred fifty-two billion, five million, four hundred one thousand, two hundred fifty-three".