1309433933025 has 135 divisors (see below), whose sum is σ = 2473069608163. Its totient is φ = 684935200800.

The previous prime is 1309433933023. The next prime is 1309433933053. The reversal of 1309433933025 is 5203393349031.

The square root of 1309433933025 is 1144305.

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

1309433933025 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 4 + 339 + 3 + 302 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 471396215889 + 838037717136 = 686583^2 + 915444^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1309433933025 - 2¹ = 1309433933023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1309433933023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3038129560 + ... + 3038129990.

Almost surely, 2^{1309433933025} is an apocalyptic number.

1309433933025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1309433933025 is the 1144305-th square number.

1309433933025 is the 572153-rd centered octagonal number.

It is an amenable number.

1309433933025 is a deficient number, since it is larger than the sum of its proper divisors (1163635675138).

1309433933025 is an frugal number, since it uses more digits than its factorization.

1309433933025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 45.

The spelling of 1309433933025 in words is "one trillion, three hundred nine billion, four hundred thirty-three million, nine hundred thirty-three thousand, twenty-five".