967419780625 has 15 divisors (see below), whose sum is σ = 1208918485533. Its totient is φ = 773916153000.

The previous prime is 967419780611. The next prime is 967419780631. The reversal of 967419780625 is 526087914769.

The square root of 967419780625 is 983575.

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

It can be written as a sum of positive squares in 2 ways, for example, as 75845710801 + 891574069824 = 275401^2 + 944232^2 .

It is not a de Polignac number, because 967419780625 - 2⁷ = 967419780497 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24569704 + ... + 24609046.

Almost surely, 2^967419780625 is an apocalyptic number.

967419780625 is the 983575-th square number.

967419780625 is the 491788-th centered octagonal number.

It is an amenable number.

967419780625 is a deficient number, since it is larger than the sum of its proper divisors (241498704908).

967419780625 is an frugal number, since it uses more digits than its factorization.

967419780625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78706 (or 39348 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 64.

Multiplying 967419780625 by its sum of digits (64), we get a square (61914865960000 = 7868600²).

The spelling of 967419780625 in words is "nine hundred sixty-seven billion, four hundred nineteen million, seven hundred eighty thousand, six hundred twenty-five".