542515407 has 96 divisors (see below), whose sum is σ = 945561600. Its totient is φ = 274498560.

The previous prime is 542515397. The next prime is 542515411. The reversal of 542515407 is 704515245.

It is not a de Polignac number, because 542515407 - 2⁶ = 542515343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542515807) 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, 3640969 + ... + 3641117.

It is an arithmetic number, because the mean of its divisors is an integer number (9849600).

Almost surely, 2^542515407 is an apocalyptic number.

542515407 is a deficient number, since it is larger than the sum of its proper divisors (403046193).

542515407 is a wasteful number, since it uses less digits than its factorization.

542515407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 33.

The square root of 542515407 is about 23291.9601364935. The cubic root of 542515407 is about 815.5877462117.

The spelling of 542515407 in words is "five hundred forty-two million, five hundred fifteen thousand, four hundred seven".