7537886041 has 27 divisors (see below), whose sum is σ = 8937887679. Its totient is φ = 6338627568.

The previous prime is 7537885997. The next prime is 7537886051. The reversal of 7537886041 is 1406887357.

It is a happy number.

The square root of 7537886041 is 86821.

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., 2209470025 + 5328416016 = 47005^2 + 72996^2 .

It is not a de Polignac number, because 7537886041 - 2⁹ = 7537885529 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (7537886051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48011935 + ... + 48012091.

It is an arithmetic number, because the mean of its divisors is an integer number (331032877).

Almost surely, 2^7537886041 is an apocalyptic number.

7537886041 is the 86821-st square number.

7537886041 is the 43411-st centered octagonal number.

It is an amenable number.

7537886041 is a deficient number, since it is larger than the sum of its proper divisors (1400001638).

7537886041 is an frugal number, since it uses more digits than its factorization.

7537886041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The cubic root of 7537886041 is about 1960.7242603991.

Multiplying 7537886041 by its sum of digits (49), we get a square (369356416009 = 607747²).

7537886041 divided by its sum of digits (49) gives a square (153834409 = 12403²).

The spelling of 7537886041 in words is "seven billion, five hundred thirty-seven million, eight hundred eighty-six thousand, forty-one".