1023749358025 has 9 divisors (see below), whose sum is σ = 1269455477173. Its totient is φ = 818995439200.

The previous prime is 1023749358011. The next prime is 1023749358113. The reversal of 1023749358025 is 5208539473201.

The square root of 1023749358025 is 1011805.

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

It can be written as a sum of positive squares in 4 ways, for example, as 396732437689 + 627016920336 = 629867^2 + 791844^2 .

It is not a de Polignac number, because 1023749358025 - 2⁵ = 1023749357993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1023749358025.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4957845 + ... + 5160205.

Almost surely, 2^{1023749358025} is an apocalyptic number.

1023749358025 is the 1011805-th square number.

1023749358025 is the 505903-rd centered octagonal number.

It is an amenable number.

1023749358025 is a deficient number, since it is larger than the sum of its proper divisors (245706119148).

1023749358025 is an frugal number, since it uses more digits than its factorization.

1023749358025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404732 (or 202366 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

Multiplying 1023749358025 by its sum of digits (49), we get a square (50163718543225 = 7082635²).

The spelling of 1023749358025 in words is "one trillion, twenty-three billion, seven hundred forty-nine million, three hundred fifty-eight thousand, twenty-five".