5790753409 has 15 divisors (see below), whose sum is σ = 6759829763. Its totient is φ = 4960306848.

The previous prime is 5790753377. The next prime is 5790753431. The reversal of 5790753409 is 9043570975.

The square root of 5790753409 is 76097.

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., 588305025 + 5202448384 = 24255^2 + 72128^2 .

It is not a de Polignac number, because 5790753409 - 2⁵ = 5790753377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5790756409) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3727977 + ... + 3729529.

Almost surely, 2^5790753409 is an apocalyptic number.

5790753409 is the 76097-th square number.

5790753409 is the 38049-th centered octagonal number.

It is an amenable number.

5790753409 is a deficient number, since it is larger than the sum of its proper divisors (969076354).

5790753409 is an frugal number, since it uses more digits than its factorization.

5790753409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 49.

The cubic root of 5790753409 is about 1795.7464801263.

Multiplying 5790753409 by its sum of digits (49), we get a square (283746917041 = 532679²).

5790753409 divided by its sum of digits (49) gives a square (118178641 = 10871²).

The spelling of 5790753409 in words is "five billion, seven hundred ninety million, seven hundred fifty-three thousand, four hundred nine".