1078137225 has 81 divisors (see below), whose sum is σ = 2133293799. Its totient is φ = 520106400.

The previous prime is 1078137187. The next prime is 1078137233. The reversal of 1078137225 is 5227318701.

The square root of 1078137225 is 32835.

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., 388129401 + 690007824 = 19701^2 + 26268^2 .

It is not a de Polignac number, because 1078137225 - 2¹³ = 1078129033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1078137225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5417676 + ... + 5417874.

Almost surely, 2^1078137225 is an apocalyptic number.

1078137225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1078137225 is the 32835-th square number.

1078137225 is the 16418-th centered octagonal number.

It is an amenable number.

1078137225 is a deficient number, since it is larger than the sum of its proper divisors (1055156574).

1078137225 is a wasteful number, since it uses less digits than its factorization.

1078137225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The cubic root of 1078137225 is about 1025.3953580935.

Multiplying 1078137225 by its sum of digits (36), we get a square (38812940100 = 197010²).

The spelling of 1078137225 in words is "one billion, seventy-eight million, one hundred thirty-seven thousand, two hundred twenty-five".