906770540025 has 135 divisors (see below), whose sum is σ = 1954528022271. Its totient is φ = 414386552160.

The previous prime is 906770539963. The next prime is 906770540033. The reversal of 906770540025 is 520045077609.

The square root of 906770540025 is 952245.

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., 326437394409 + 580333145616 = 571347^2 + 761796^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2^k-906770540025 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 299955664 + ... + 299958686.

Almost surely, 2^906770540025 is an apocalyptic number.

906770540025 is the 952245-th square number.

906770540025 is the 476123-rd centered octagonal number.

It is an amenable number.

906770540025 is an abundant number, since it is smaller than the sum of its proper divisors (1047757482246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

906770540025 is an frugal number, since it uses more digits than its factorization.

906770540025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 906770540025 in words is "nine hundred six billion, seven hundred seventy million, five hundred forty thousand, twenty-five".