10077101058025 has 27 divisors (see below), whose sum is σ = 12582984333423. Its totient is φ = 8005696334400.

The previous prime is 10077101058023. The next prime is 10077101058067. The reversal of 10077101058025 is 52085010177001.

It is a happy number.

The square root of 10077101058025 is 3174445.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4803299039449 + 5273802018576 = 2191643^2 + 2296476^2 .

It is not a de Polignac number, because 10077101058025 - 2¹ = 10077101058023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10077101058023) 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, 2364959395 + ... + 2364963655.

Almost surely, 2^{10077101058025} is an apocalyptic number.

10077101058025 is the 3174445-th square number.

10077101058025 is the 1587223-rd centered octagonal number.

It is an amenable number.

10077101058025 is a deficient number, since it is larger than the sum of its proper divisors (2505883275398).

10077101058025 is an frugal number, since it uses more digits than its factorization.

10077101058025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8830 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 37.

The spelling of 10077101058025 in words is "ten trillion, seventy-seven billion, one hundred one million, fifty-eight thousand, twenty-five".