2007024723025 has 81 divisors (see below), whose sum is σ = 3076636259667. Its totient is φ = 1294745894400.

The previous prime is 2007024722953. The next prime is 2007024723049. The reversal of 2007024723025 is 5203274207002.

The square root of 2007024723025 is 1416695.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1940897571921 + 66127151104 = 1393161^2 + 257152^2 .

It is not a de Polignac number, because 2007024723025 - 2²¹ = 2007022625873 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

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, 842932335 + ... + 842934715.

Almost surely, 2^{2007024723025} is an apocalyptic number.

2007024723025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2007024723025 is the 1416695-th square number.

2007024723025 is the 708348-th centered octagonal number.

It is an amenable number.

2007024723025 is a deficient number, since it is larger than the sum of its proper divisors (1069611536642).

2007024723025 is an frugal number, since it uses more digits than its factorization.

2007024723025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 34.

The spelling of 2007024723025 in words is "two trillion, seven billion, twenty-four million, seven hundred twenty-three thousand, twenty-five".