35261566041025 has 9 divisors (see below), whose sum is σ = 43724378707401. Its totient is φ = 28209229080240.

The previous prime is 35261566041019. The next prime is 35261566041041. The reversal of 35261566041025 is 52014066516253.

The square root of 35261566041025 is 5938145.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6838763700609 + 28422802340416 = 2615103^2 + 5331304^2 .

It is a de Polignac number, because none of the positive numbers 2^k-35261566041025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29096911 + ... + 30284539.

Almost surely, 2^{35261566041025} is an apocalyptic number.

35261566041025 is the 5938145-th square number.

35261566041025 is the 2969073-rd centered octagonal number.

It is an amenable number.

35261566041025 is a deficient number, since it is larger than the sum of its proper divisors (8462812666376).

35261566041025 is an frugal number, since it uses more digits than its factorization.

35261566041025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375268 (or 1187634 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 35261566041025 in words is "thirty-five trillion, two hundred sixty-one billion, five hundred sixty-six million, forty-one thousand, twenty-five".