252963267422761 has 9 divisors (see below), whose sum is σ = 294263522226999. Its totient is φ = 216825562362024.

The previous prime is 252963267422753. The next prime is 252963267422777. The reversal of 252963267422761 is 167224762369252.

The square root of 252963267422761 is 15904819.

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., 72688498320025 + 180274769102736 = 8525755^2 + 13426644^2 .

It is not a de Polignac number, because 252963267422761 - 2³ = 252963267422753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252963267422693 and 252963267422702.

It is not an unprimeable number, because it can be changed into a prime (252963267422161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110197675 + ... + 112469791.

It is an arithmetic number, because the mean of its divisors is an integer number (32695946914111).

Almost surely, 2^{252963267422761} is an apocalyptic number.

252963267422761 is the 15904819-th square number.

252963267422761 is the 7952410-th centered octagonal number.

It is an amenable number.

252963267422761 is a deficient number, since it is larger than the sum of its proper divisors (41300254804238).

252963267422761 is an frugal number, since it uses more digits than its factorization.

252963267422761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544248 (or 2272124 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 64.

The spelling of 252963267422761 in words is "two hundred fifty-two trillion, nine hundred sixty-three billion, two hundred sixty-seven million, four hundred twenty-two thousand, seven hundred sixty-one".