3542165521257 has 48 divisors (see below), whose sum is σ = 5511381765120. Its totient is φ = 2015068408320.

The previous prime is 3542165521247. The next prime is 3542165521261. The reversal of 3542165521257 is 7521255612453.

It is not a de Polignac number, because 3542165521257 - 2³¹ = 3540018037609 is a prime.

It is a super-3 number, since 3×3542165521257³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3542165521247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1532344 + ... + 3071222.

It is an arithmetic number, because the mean of its divisors is an integer number (114820453440).

Almost surely, 2^{3542165521257} is an apocalyptic number.

It is an amenable number.

3542165521257 is a deficient number, since it is larger than the sum of its proper divisors (1969216243863).

3542165521257 is a wasteful number, since it uses less digits than its factorization.

3542165521257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539294 (or 1539283 counting only the distinct ones).

The product of its digits is 2520000, while the sum is 48.

The spelling of 3542165521257 in words is "three trillion, five hundred forty-two billion, one hundred sixty-five million, five hundred twenty-one thousand, two hundred fifty-seven".