901521765225 has 27 divisors (see below), whose sum is σ = 1614751160503. Its totient is φ = 480804012240.

The previous prime is 901521765203. The next prime is 901521765227. The reversal of 901521765225 is 522567125109.

The square root of 901521765225 is 949485.

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

901521765225 is a `hidden beast` number, since 9 + 0 + 1 + 52 + 1 + 76 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 324547835481 + 576973929744 = 569691^2 + 759588^2 .

It is not a de Polignac number, because 901521765225 - 2¹⁹ = 901521240937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (901521765227) 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, 14210626 + ... + 14273924.

Almost surely, 2^901521765225 is an apocalyptic number.

901521765225 is the 949485-th square number.

901521765225 is the 474743-rd centered octagonal number.

It is an amenable number.

901521765225 is a deficient number, since it is larger than the sum of its proper divisors (713229395278).

901521765225 is an frugal number, since it uses more digits than its factorization.

901521765225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126614 (or 63307 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 901521765225 in words is "nine hundred one billion, five hundred twenty-one million, seven hundred sixty-five thousand, two hundred twenty-five".