1465273935225 has 243 divisors, whose sum is σ = 2876992173991. Its totient is φ = 712733568000.

The previous prime is 1465273935211. The next prime is 1465273935233. The reversal of 1465273935225 is 5225393725641.

The square root of 1465273935225 is 1210485.

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

1465273935225 is a `hidden beast` number, since 1 + 4 + 6 + 5 + 27 + 3 + 93 + 522 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3070600569 + 1462203334656 = 55413^2 + 1209216^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1465273935225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 14507662675 + ... + 14507662775.

Almost surely, 2^{1465273935225} is an apocalyptic number.

1465273935225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1465273935225 is the 1210485-th square number.

1465273935225 is the 605243-rd centered octagonal number.

It is an amenable number.

1465273935225 is a deficient number, since it is larger than the sum of its proper divisors (1411718238766).

1465273935225 is a wasteful number, since it uses less digits than its factorization.

1465273935225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 173 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The spelling of 1465273935225 in words is "one trillion, four hundred sixty-five billion, two hundred seventy-three million, nine hundred thirty-five thousand, two hundred twenty-five".