95954660966025 has 45 divisors (see below), whose sum is σ = 177742018146693. Its totient is φ = 51175584086400.

The previous prime is 95954660965973. The next prime is 95954660966083. The reversal of 95954660966025 is 52066906645959.

The square root of 95954660966025 is 9795645.

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

95954660966025 is a `hidden beast` number, since 9 + 5 + 9 + 5 + 4 + 6 + 6 + 0 + 9 + 6 + 602 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27473144039289 + 68481516926736 = 5241483^2 + 8275356^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 95954660966025 - 2¹⁷ = 95954660834953 is a prime.

It is a super-2 number, since 2×95954660966025² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 440695185 + ... + 440912865.

Almost surely, 2^{95954660966025} is an apocalyptic number.

95954660966025 is the 9795645-th square number.

95954660966025 is the 4897823-rd centered octagonal number.

It is an amenable number.

95954660966025 is a deficient number, since it is larger than the sum of its proper divisors (81787357180668).

95954660966025 is an frugal number, since it uses more digits than its factorization.

95954660966025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435384 (or 217689 counting only the distinct ones).

The product of its (nonzero) digits is 944784000, while the sum is 72.

The spelling of 95954660966025 in words is "ninety-five trillion, nine hundred fifty-four billion, six hundred sixty million, nine hundred sixty-six thousand, twenty-five".