83777317470025 has 9 divisors (see below), whose sum is σ = 103883930411431. Its totient is φ = 67021817364040.

The previous prime is 83777317470017. The next prime is 83777317470073. The reversal of 83777317470025 is 52007471377738.

The square root of 83777317470025 is 9152995.

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., 30159834289209 + 53617483180816 = 5491797^2 + 7322396^2 .

It is not a de Polignac number, because 83777317470025 - 2³ = 83777317470017 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, 44849676 + ... + 46680274.

Almost surely, 2^{83777317470025} is an apocalyptic number.

83777317470025 is the 9152995-th square number.

83777317470025 is the 4576498-th centered octagonal number.

It is an amenable number.

83777317470025 is a deficient number, since it is larger than the sum of its proper divisors (20106612941406).

83777317470025 is an frugal number, since it uses more digits than its factorization.

83777317470025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661208 (or 1830604 counting only the distinct ones).

The product of its (nonzero) digits is 48404160, while the sum is 61.

The spelling of 83777317470025 in words is "eighty-three trillion, seven hundred seventy-seven billion, three hundred seventeen million, four hundred seventy thousand, twenty-five".