6135202040357 has 96 divisors (see below), whose sum is σ = 6989004655776. Its totient is φ = 5378420736000.

The previous prime is 6135202040351. The next prime is 6135202040371. The reversal of 6135202040357 is 7530402025316.

It is a Cunningham number, because it is equal to 2476934²+1.

It can be written as a sum of positive squares in 48 ways, for example, as 3371009832961 + 2764192207396 = 1836031^2 + 1662586^2 .

It is not a de Polignac number, because 6135202040357 - 2¹⁰ = 6135202039333 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6135202040357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6135202040351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25457269757 + ... + 25457269997.

It is an arithmetic number, because the mean of its divisors is an integer number (72802131831).

Almost surely, 2^{6135202040357} is an apocalyptic number.

It is an amenable number.

6135202040357 is a deficient number, since it is larger than the sum of its proper divisors (853802615419).

6135202040357 is a wasteful number, since it uses less digits than its factorization.

6135202040357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 38.

The spelling of 6135202040357 in words is "six trillion, one hundred thirty-five billion, two hundred two million, forty thousand, three hundred fifty-seven".