42735217031 has 16 divisors (see below), whose sum is σ = 48454707840. Its totient is φ = 37364029920.

The previous prime is 42735216973. The next prime is 42735217033. The reversal of 42735217031 is 13071253724.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 42735217031 - 2⁶ = 42735216967 is a prime.

It is a super-2 number, since 2×42735217031² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42735216982 and 42735217000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42735217033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1428416 + ... + 1458026.

It is an arithmetic number, because the mean of its divisors is an integer number (3028419240).

Almost surely, 2^42735217031 is an apocalyptic number.

42735217031 is a deficient number, since it is larger than the sum of its proper divisors (5719490809).

42735217031 is a wasteful number, since it uses less digits than its factorization.

42735217031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35486.

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 42735217031 in words is "forty-two billion, seven hundred thirty-five million, two hundred seventeen thousand, thirty-one".