42763501 has 16 divisors (see below), whose sum is σ = 47961216. Its totient is φ = 37800000.

The previous prime is 42763499. The next prime is 42763519. The reversal of 42763501 is 10536724.

It is a cyclic number.

It is not a de Polignac number, because 42763501 - 2¹ = 42763499 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42763501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42763531) 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, 67456 + ... + 68086.

It is an arithmetic number, because the mean of its divisors is an integer number (2997576).

It is a Poulet number, since it divides 2^42763500-1.

Almost surely, 2^42763501 is an apocalyptic number.

42763501 is the 2925-th centered decagonal number.

It is an amenable number.

42763501 is a deficient number, since it is larger than the sum of its proper divisors (5197715).

42763501 is a wasteful number, since it uses less digits than its factorization.

42763501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 42763501 is about 6539.3807810832. The cubic root of 42763501 is about 349.6963379778.

It can be divided in two parts, 42763 and 501, that added together give a square (43264 = 208²).

The spelling of 42763501 in words is "forty-two million, seven hundred sixty-three thousand, five hundred one".