235400928813961 has 27 divisors (see below), whose sum is σ = 241909201696383. Its totient is φ = 229066492907520.

The previous prime is 235400928813889. The next prime is 235400928813989. The reversal of 235400928813961 is 169318829004532.

The square root of 235400928813961 is 15342781.

It is a perfect power (a square), and thus also a powerful number.

235400928813961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 222648744973561 + 12752183840400 = 14921419^2 + 3571020^2 .

It is not a de Polignac number, because 235400928813961 - 2¹¹ = 235400928811913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a self number, because there is not a number n which added to its sum of digits gives 235400928813961.

It is not an unprimeable number, because it can be changed into a prime (235400928813361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 90783233881 + ... + 90783236473.

It is an arithmetic number, because the mean of its divisors is an integer number (8959600062829).

Almost surely, 2^{235400928813961} is an apocalyptic number.

235400928813961 is the 15342781-st square number.

235400928813961 is the 7671391-st centered octagonal number.

It is an amenable number.

235400928813961 is a deficient number, since it is larger than the sum of its proper divisors (6508272882422).

235400928813961 is an frugal number, since it uses more digits than its factorization.

235400928813961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5502 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 235400928813961 in words is "two hundred thirty-five trillion, four hundred billion, nine hundred twenty-eight million, eight hundred thirteen thousand, nine hundred sixty-one".