542321262123245 has 48 divisors (see below), whose sum is σ = 716772996124416. Its totient is φ = 393617912688000.

The previous prime is 542321262123197. The next prime is 542321262123287.

542321262123245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542321262123245 - 2²⁶ = 542321195014381 is a prime.

It is a super-2 number, since 2×542321262123245² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 542321262123196 and 542321262123205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3021989939 + ... + 3022169391.

It is an arithmetic number, because the mean of its divisors is an integer number (14932770752592).

Almost surely, 2^{542321262123245} is an apocalyptic number.

542321262123245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542321262123245 is a deficient number, since it is larger than the sum of its proper divisors (174451734001171).

542321262123245 is a wasteful number, since it uses less digits than its factorization.

542321262123245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189554 (or 189543 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 44.

The spelling of 542321262123245 in words is "five hundred forty-two trillion, three hundred twenty-one billion, two hundred sixty-two million, one hundred twenty-three thousand, two hundred forty-five".