253857652933921 has 9 divisors (see below), whose sum is σ = 254200465148211. Its totient is φ = 253515302475264.

The previous prime is 253857652933883. The next prime is 253857652933949. The reversal of 253857652933921 is 129339256758352.

The square root of 253857652933921 is 15932911.

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., 99317946973921 + 154539705960000 = 9965839^2 + 12431400^2 .

It is not a de Polignac number, because 253857652933921 - 2¹¹ = 253857652931873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253857652933721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12252398200 + ... + 12252418918.

It is an arithmetic number, because the mean of its divisors is an integer number (28244496127579).

Almost surely, 2^{253857652933921} is an apocalyptic number.

253857652933921 is the 15932911-st square number.

253857652933921 is the 7966456-th centered octagonal number.

It is an amenable number.

253857652933921 is a deficient number, since it is larger than the sum of its proper divisors (342812214290).

253857652933921 is an frugal number, since it uses more digits than its factorization.

253857652933921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42976 (or 21488 counting only the distinct ones).

The product of its digits is 734832000, while the sum is 70.

The spelling of 253857652933921 in words is "two hundred fifty-three trillion, eight hundred fifty-seven billion, six hundred fifty-two million, nine hundred thirty-three thousand, nine hundred twenty-one".